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人気のある代数 >

1.15(0.85-2x)^2=x

解

1.15 (0.85 - 2 x)^{2} = x

解

x = \frac{4.91 + 8.82}{9.2}, x = \frac{4.91 - 8.82}{9.2}

+1

十進法表記

x = 0.85650 \dots, x = 0.21088 \dots

解答ステップ

1.15 (0.85 - 2 x)^{2} = x

拡張

1.15 (0.85 - 2 x)^{2} : 0.830875 - 3.91 x + 4.6 x^{2}

0.830875 - 3.91 x + 4.6 x^{2} = x

x

を左側に移動します

4.6 x^{2} - 4.91 x + 0.830875 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 4.91 ) \pm ( - 4.91 ) ^{2} - 4 \cdot 4.6 \cdot 0.830875}{2 \cdot 4.6}

(- 4.91)^{2} - 4 \cdot 4.6 \cdot 0.830875 = 8.82

x_{1, 2} = \frac{- ( - 4.91 ) \pm 8.82}{2 \cdot 4.6}

解を分離する

x_{1} = \frac{- ( - 4.91 ) + 8.82}{2 \cdot 4.6}, x_{2} = \frac{- ( - 4.91 ) - 8.82}{2 \cdot 4.6}

x = \frac{- ( - 4.91 ) + 8.82}{2 \cdot 4.6} : \frac{4.91 + 8.82}{9.2}

x = \frac{- ( - 4.91 ) - 8.82}{2 \cdot 4.6} : \frac{4.91 - 8.82}{9.2}

二次equationの解:

x = \frac{4.91 + 8.82}{9.2}, x = \frac{4.91 - 8.82}{9.2}

グラフ

人気の例

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